A phase-field-based lattice Boltzmann method for two-phase flows with the interfacial mass/heat transfer
arxiv(2024)
摘要
In this work, we develop a phase-field-based lattice Boltzmann (LB) method
for a two-scalar model of the two-phase flows with interfacial mass/heat
transfer. Through the Chapman-Enskog analysis, we show that the present LB
method can correctly recover the governing equations for phase field, flow
field and concentration/temperature field. In particular, to derive the
two-scalar equations for the mass/heat transfer, we propose a new LB model with
an auxiliary source distribution function to describe the extra flux terms, and
the discretizations of some derivative terms can be avoided. The accuracy and
efficiency of the present method is also tested through several benchmark
problems, and the influence of mass/heat transfer on the fluid viscosity is
further considered by introducing an exponential relation. The numerical
results show that the present LB method is suitable for the two-phase flows
with interfacial mass/heat transfer.
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